GCD of 738, 253, 680, 958 Calculator

Given Input numbers are 738, 253, 680, 958

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 738, 253, 680, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 253, 680, 958 is 1.

Therefore, GCD of numbers 738, 253, 680, 958 is 1

Given Input Data is 738, 253, 680, 958

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 253 is 11 x 23

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 958 is 2 x 479

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(738, 253) = 186714

GCD(738, 253) = ( 738 x 253 ) / 186714

GCD(738, 253) = 186714 / 186714

GCD(738, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 738, 253, 680, 958 is 1

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1. What is the GCD of 738, 253, 680, 958?

GCD of 738, 253, 680, 958 is 1

2. Where do I get the detailed procedure to find GCD of 738, 253, 680, 958?

You can find a detailed procedure to find GCD of 738, 253, 680, 958 on our page.

3. How to find GCD of 738, 253, 680, 958 on a calculator?

You can find the GCD of 738, 253, 680, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.